The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. what is the approximate area of the cross section passing through the diagonals of opposite faces of this cube?

12 square centimeters

25 square centimeters

35 square centimeters

49 square centimeters

Which statement most accurately describe why the division property of exponents does not apply to the expression (-8)^2/(-3)^4

The graph of a hyperbola is shown. what are the coordinates of a vertex of the hyperbola? (0, −4) (−3, 0) (0, 0) (0, 5)

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?